Download 40 Test 3b Review Sheet

CC Coordinate Algebra
Unit 3b
Test Review – Day 42
Name: _________________________________________ Date: _____________________________
Characteristics of Functions:
For each of the functions find the following information.
1.
2.
Domain: ___________________
Range: ___________________
x - intercept: _______________
y- intercept: __________________
Increasing: ____________________
Decreasing: ____________________
Max / Min: ___________________
End Behavior: _x∞,y__ x-∞,y__
Rate of change over [-1, 2] ____
Domain: ____________________
Range: _______________________
x - intercept:__________________
y- intercept: __________________
Increasing: ______________________
Decreasing: _____________________
Max / Min: _____________________
End Behavior: __ x∞,y__ x-∞,y__
Rate of change over [-1, 2] ___
3. Discuss and compare the functions by analyzing the rates of change, intercepts, and
where one function is greater or less than the other.
Combining Functions
Given the functions: f ( x)  3x 2  2 x  6 , g ( x)  4 x 2  x  8
4. Find f(2) ___________
5. Find f(-2) + g(3) __________
6. Find f(x) – g(x) __________
7. Find 2f(x) + 4g(x). ____________
Linear and Exponential Models:
8. Write an explicit and recursive formula to model the number of dots per day.
Day 1
Day 2
Day 3
CC Coordinate Algebra
Unit 3b
Test Review – Day 42
9. Sherry has a huge doll collection of 80 dolls. Her mom tells her that she needs to get
rid of 5 per year to get it down to a decent number before leaving for college.
Write an explicit and recursive formula to model the number of dolls per day. If she is
12, how many will she have left when she is 18?
10. You bought a Boston Whaler in 2004 for $12,500. The boat’s value depreciates by 7%
a year. How much is the boat worth now? How much is it worth in 2020?
11. The population of a large city increases by a rate of 3% a year. When the 2000
census was taken, the population was 1.2 million.
a) Write a model for this population growth.
b) What should the population be now? What is the projected population for 2020?
12. Bank Plans: Suppose you worked mowing lawns all summer and earned $100. Two
savings institutions want you to let them “hold onto your money” for a while.
Linear Luck: This savings plan will add $100 to your balance for every month that you leave your
money in the account.
Exponential Experiment: This savings plan will multiply your balance by 2 every month that you leave
your money in their account.
Analyze the plans: Write the explicit function for each account, and decide which
account is best at what times.
Transformations:
13. Describe the transformations made to f(x) = 2x to draw the following functions.
a) g ( x)  1 3x 2  5
4
b) h( x)  2(3) x 1
1
14. Give the domain, range, and asymptote for g ( x)  3x  2  5 .
4
15. Sketch the graph of -f(x)+2.
16. Sketch the graph of 2f(x)-1.
CC Coordinate Algebra
Unit 3b
Sequences:
16. Given the recursive formula A1 = 4; An = An-1(3), what is A5?
17. Given the explicit formula An = 5(-3)n-1, find the 6th term.
18. If An= An-1 +12 and A10= 2, what is A15?
Even and Odd Functions
19. Is the equation f(x) = 2x2 + 6 even, odd or neither? Why?
20. Is the equation g(x) = -6x5 + 5x even, odd or neither? Why?
21. Is the graph of the function even, odd or neither? Why?
22. Is the graph of the function even, odd or neither? Why?
Test Review – Day 42